Numerical analysis of Carreau fluid inside a horizontal passage with axial conduction and viscous dissipation: an extended Graetz problem

It is crucial to investigate fluid flow velocity and temperature distribution for theoretical and practical purposes. Determining the velocity and temperature distributions in fluid flows is necessary for designing effective heat exchange equipment, creating heat and thermomechanical modes of produc...

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Bibliographic Details
Published inJournal of thermal analysis and calorimetry Vol. 149; no. 14; pp. 7527 - 7535
Main Authors Asghar, Zeeshan, Khan, Muhammad Waris Saeed, Gondal, Muhammad Asif
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.07.2024
Springer Nature B.V
Subjects
Analytical Chemistry
Chemistry
Chemistry and Materials Science
Conduction heating
Eigenvalues
Eigenvectors
Flow velocity
Fluid flow
Heat
Heat exchange
Heat treatment
Inorganic Chemistry
Measurement Science and Instrumentation
Numerical analysis
Peclet number
Physical Chemistry
Polymer Sciences
Temperature distribution
Temperature profiles
Thermal analysis
Thermomechanical analysis
Thermomechanical treatment
Wall temperature
Graetz problem
SL problem
Axial conduction
Viscous dissipation
bvp5c
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Summary:It is crucial to investigate fluid flow velocity and temperature distribution for theoretical and practical purposes. Determining the velocity and temperature distributions in fluid flows is necessary for designing effective heat exchange equipment, creating heat and thermomechanical modes of product treatment, and calculating heat losses in pipeline systems. The present article elaborates on the thermal analysis of Carreau fluid inside a horizontal passage. The influence of the small Peclet number and Brinkman number is also considered. The energy equation is tackled by Graetz’s traditional approach for fixed wall temperature conditions. A MATLAB function bvp5c is employed for the numerical solution of the eigenvalue problem in the form of eigenvalues and related eigenvectors. Local Nusselt number and mean temperature are thoroughly elaborated under the influence of emerging parameters and displayed through several graphs. A numerical validation is also presented with already existing literature. The findings reveal that when the small values of Peclet number are taken into account, the axial conduction is dominant in upstream region. In addition, the flow index and Weissenberg number assist the temperature profile.
ISSN:1388-6150
1588-2926
DOI:10.1007/s10973-024-13332-z